There is a knowledge base article available on how to hide the search and use the filters only: https://wp-dreams.com/knowledge-base/how-to-use-filters-only-and-hide-the-search-bar/
For radio buttons you should consider experimenting with the category/term logic on the Frontend search options -> Advanced panel: http://i.imgur.com/ZE08vut.png
Maybe a different logic configuration suits your needs better.